85675180500 has 1152 divisors, whose sum is σ = 364493316096. Its totient is φ = 16422912000.

The previous prime is 85675180471. The next prime is 85675180519. The reversal of 85675180500 is 508157658.

85675180500 is a `hidden beast` number, since 8 + 5 + 67 + 5 + 1 + 80 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 215806302 + ... + 215806698.

It is an arithmetic number, because the mean of its divisors is an integer number (316400448).

Almost surely, 2^85675180500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85675180500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182246658048).

85675180500 is an abundant number, since it is smaller than the sum of its proper divisors (278818135596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85675180500 is a wasteful number, since it uses less digits than its factorization.

85675180500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 85675180500 in words is "eighty-five billion, six hundred seventy-five million, one hundred eighty thousand, five hundred".